Question

1) Solve quadratic equations by factoring.
2x^2 + 5x - 12 = 0

Answer 1

(2x-3)(x+4) —> x= 3/2 x= -4

Answer 2

Answer:

$x = - 4, \: \: x = 1 \frac{1}{2}$

Step-by-step explanation:

$2 {x}^{2} + 5x - 12 = 0 \\ \\ 2 {x}^{2} + 8x - 3x - 12 = 0 \\ \\ 2x(x + 4) - 3(x + 4) = 0 \\ \\ (x + 4)(2x - 3) = 0 \\ \\ x + 4 = 0, \: \: 2x - 3 = 0 \\ \\ x = - 4, \: \: x = \frac{3}{2} \\ \\ x = - 4, \: \: x = 1 \frac{1}{2}$